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Finding the Third Proportional to 352,757 and 532,416

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Solution

The third proportional to 352,757 and 532,416 is: 803,575.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,757 : 532,416 = 532,416 : x
  2. Step 2: Convert to fraction form
    352,757/532,416 = 532,416/x
  3. Step 3: Cross multiply
    352,757x = 532,416 × 532,416
  4. Step 4: Simplify right side
    352,757x = 283,466,797,056
  5. Step 5: Solve for x
    x = 283,466,797,056/352,757
  6. Step 6: Final answer
    x = 803,575.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.